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Graphical Interpretation of Differentiability

The area boun...

Question

The area bounded by the curve $y = 3 cos x$ and $x - a x i s$ where $0 \leq x \leq \frac{π}{2}$ is ...........

3

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1

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\frac{3}{2}

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\frac{1}{2}

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Solution

The correct option is A $3$
Area = $\int_{0}^{1 / 2} y d x$
$= \int_{0}^{1 / 2} 3 c o s x d x$
$= 3 s i n x |_{0}^{1 / 2}$
$= 3 u n i t s^{2}$

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